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Finding the Fourth Proportional to 26,769, 40,150.32 and 7,049.16

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Solution

The fourth proportional to 26,769, 40,150.32 and 7,049.16 is: 10,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,769 : 40,150.32 = 7,049.16 : x
  2. Step 2: Convert to fraction form
    26,769/40,150.32 = 7,049.16/x
  3. Step 3: Cross multiply
    26,769x = 40,150.32 × 7,049.16
  4. Step 4: Simplify right side
    26,769x = 283,026,029.73
  5. Step 5: Solve for x
    x = 283,026,029.73/26,769
  6. Step 6: Final answer
    x = 10,572.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.